Advances and Applications in Discrete Mathematics

The Advances and Applications in Discrete Mathematics is a prestigious peer-reviewed journal indexed in the Emerging Sources Citation Index (ESCI). It is dedicated to publishing original research articles in the field of discrete mathematics and combinatorics, including topics such as graphs, coding theory, and block design. The journal emphasizes efficient and powerful tools for real-world applications and welcomes expository articles that highlight current developments in the field.

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ON THE URBAN PLANNING OPTIMIZATION PROBLEMS VIA $g$-INVERSE GP METHOD

Authors

  • Christy C. Nwachi
  • Harrison O. Amuji
  • Geoffrey U. Ugwuanyim
  • Hycinth C. Iwu
  • Immaculata O. Okeoma
  • Kenneth O. Okeke
  • Edward E. Eke
  • Nnaemeka C. Ezeanya
  • Collins U. Anya

Keywords:

g-inverse geometric programming, optimal cost for urban planning, optimization in engineering, accessibility, district, population

DOI:

https://doi.org/10.17654/0974165825041

Abstract

In this paper, we develop a g-inverse geometric programming model for urban planning optimization problems. The nature of this problem is complex because of the resulting rectangular exponent matrix with so many positive degrees of difficulty. This method has helped to solve such a complex problem and eliminate the use of condensation, which would require higher-order mathematics. From the solution to the modelled urban planning optimization problem, we were able to determine the optimal cost for urban planning for the five selected districts in Owerri to be $2.625 × 10^6$. We also estimated the lower and upper bound populations of the districts in the next two years. Our model is robust and has demonstrated its capacity to handle such tasks of cost estimation and population estimation with less difficulty.

Received: December 2, 2024
Revised: June 6, 2025
Accepted: July 9, 2025

References

[1] J. J. Dinkel and G. A. Kochenberger, On the solution of regional planning models via geometric programming, Environment and Planning 5 (1973), 397-408.

[2] H. O. Amuji, F. I. Ugwuowo, W. I. E. Chukwu and P. I. Uche, A modified generalised inverse method for solving geometric programming problems with extended degrees of difficulties Int. J. Oper. Res. 38(1) (2020), 19-30.

[3] H. O. Amuji, G. U. Ugwuanyim and C. O. Nwosu, A solution to geometric programming problems with negative degrees of difficulty, Advances and Applications in Discrete Mathematics 26(2) (2021), 221-230.

[4] H. O. Amuji, F. I. Ugwuowo, C. C. Nwachi, B. N. Okechukwu and I. O. Okeoma, On exact optimal solution to geometric programming problems, Advances and Applications in Discrete Mathematics 41(5) (2024), 429-439.

[5] R. J. Duffin, E. L. Peterson and C. Zener, Geometric Programming, John Wiley, New York, 1967.

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Published

2025-08-30

Issue

Vol. 42 No. 7 (2025)

Section

Articles

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Copyright (c) 2025 PUSHPA PUBLISHING HOUSE, PRAYAGRAJ, INDIA

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How to Cite

ON THE URBAN PLANNING OPTIMIZATION PROBLEMS VIA $g$-INVERSE GP METHOD. (2025). Advances and Applications in Discrete Mathematics, 42(7), 643-655. https://doi.org/10.17654/0974165825041

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